In addition to the black hole with electric charge, there also exist exact solutions describing black hole immersed in external magnetic field. Solution where the magnetic field is considered as some perturbations in the spacetime was introduced by Wald [1]}, and for the case of strong magnetic field was proposed by Ernst [2]}. In the proposal by Ernst, the magnetized spacetime is obtained by using a Harrison type of transformation applied to a seed solution in Einstein-Maxwell theory. For example, one can use the Kerr-Newman solution as the seed to obtain the magnetized Kerr-Newman spacetime [2]}. Setting the mass, electric charge, and rotation parameters in the magnetized Kerr-Newman solution yields the Melvin magnetic universe [4]}. Interestingly, the presence of external magnetic field does not change the area of embedded black hole, but rather to deform the surface as studied in [5]}. Various studies on black holes in external magnetic field can be found in literature [6]}, [7]}, [8]}, [9]}, [10]}, [11]}, [12]}, [13]}, [14]}, [15]}, [16]}, [17]}, [18]}, [19]}, [20]}, [21]}, [22]}.
